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Theorems · Theorem · number theory

NumberField.InfinitePlace.IsRamified.liesOver_isReal_under

∀ {K : Type u_4} {L : Type u_5} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
  (w : NumberField.InfinitePlace L) (v : NumberField.InfinitePlace K) [w.LiesOver v],
  NumberField.InfinitePlace.IsRamified K w → v.IsReal
Defined in
Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification
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0 results in Mathlib
Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebraNumberField.InfinitePlace.LiesOver
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Algebra · cited by 11388AlgebraField · cited by 7404FieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.InfinitePlace.IsReal · cited by 301InfinitePlace.IsRealNumberField.InfinitePlace.LiesOver · cited by 25InfinitePlace.LiesOverNumberField.InfinitePlace.IsRamified · cited by 18InfinitePlace.IsRamifiedNumberField.InfinitePlace.isRamified_iff · cited by 9InfinitePlace.isRamified_…NumberField.InfinitePlace.LiesOver.comap_eq · cited by 9LiesOver.comap_eqIsRamified.liesOver_isReal_un…CITED BYCITES

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